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Finding the Fourth Proportional to 165,392,596.30, 248,088,894.45 and 165,392,596.30

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Solution

The fourth proportional to 165,392,596.30, 248,088,894.45 and 165,392,596.30 is: 248,088,894.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,392,596.30 : 248,088,894.45 = 165,392,596.30 : x
  2. Step 2: Convert to fraction form
    165,392,596.30/248,088,894.45 = 165,392,596.30/x
  3. Step 3: Cross multiply
    165,392,596.30x = 248,088,894.45 × 165,392,596.30
  4. Step 4: Simplify right side
    165,392,596.30x = 41,032,066,366,282,160
  5. Step 5: Solve for x
    x = 41,032,066,366,282,160/165,392,596.30
  6. Step 6: Final answer
    x = 248,088,894.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.